Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (5 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
147.6.a.a	$147$	$6$	147.a	1.a	$1$	$1$	$1$	$23.576$	\(\Q\)	None	✓	$1$	$0$	\(-6\)	\(-9\)	\(-6\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{2}-9q^{3}+4q^{4}-6q^{5}+54q^{6}+\cdots\)
147.6.a.f	$147$	$6$	147.a	1.a	$1$	$1$	$1$	$23.576$	\(\Q\)	None	✓	$1$	$0$	\(5\)	\(-9\)	\(-94\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}-9q^{3}-7q^{4}-94q^{5}-45q^{6}+\cdots\)
147.6.a.g	$147$	$6$	147.a	1.a	$1$	$1$	$1$	$23.576$	\(\Q\)	None	✓	$1$	$0$	\(10\)	\(-9\)	\(106\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+10q^{2}-9q^{3}+68q^{4}+106q^{5}+\cdots\)
147.6.a.h	$147$	$6$	147.a	1.a	$1$	$2$	$2$	$23.576$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$0$	\(-3\)	\(-18\)	\(72\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-9q^{3}+(17+3\beta )q^{4}+\cdots\)
147.6.a.l	$147$	$6$	147.a	1.a	$1$	$4$	$4$	$23.576$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-36\)	\(0\)	\(0\)		$+$	$-$	$-$	$7$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-9q^{3}+(18-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)